1 Ocak 2011 Dergi makalesi Açık Erişim

Buyukboduk, Kazim

Citation Style Language JSON

{
  "DOI": "10.1093/imrn/rnq186", 
  "abstract": "In this paper, we study Kolyvagin systems, as defined by Mazur and Rubin, over the cyclotomic Z(p)-tower for a Gal((Q) over bar/Q)- representation T. We prove, under certain hypotheses, that the module of Lambda-adic Kolyvagin systems for the cyclotomic deformation T circle times Lambda is free of rank 1 over the cyclotomic Iwasawa algebra. We link our result with a web of conjectures due to Perrin-Riou and Rubin; and we relate the Lambda-adic Kolyvagin systems we prove to exist to (conjectural) p- adic L-functions. We also study the Iwasawa theory of Rubin-Stark elements via the perspective offered by our main theorem, and outline a strategy to deduce the main conjectures of Iwasawa theory for totally real number fields assuming the Rubin-Stark conjecture.", 
  "author": [
    {
      "family": "Buyukboduk", 
      "given": " Kazim"
    }
  ], 
  "container_title": "INTERNATIONAL MATHEMATICS RESEARCH NOTICES", 
  "id": "19361", 
  "issue": "14", 
  "issued": {
    "date-parts": [
      [
        2011, 
        1, 
        1
      ]
    ]
  }, 
  "page": "3141-3206", 
  "title": "Lambda-adic Kolyvagin Systems", 
  "type": "article-journal", 
  "volume": "2011"
}